| Uniqueness of PL Minimal Surfaces |
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| 作者姓名： | Yi NI |
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| 作者单位： | Department of Mathematics, Princeton University, Princeton, New Jersey, 08544 |
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| 基金项目： | The author is partially supported by the Centennial fellowship of the Graduate School at Princeton University;Acknowledgements Part of this proof was obtained when the author was enrolled in a course given by David Gabai. The author wishes to thank David Gabai for his help on this paper, especially for sharing his idea. The author is also grateful to Gang Tian and Yu Ding for their help on minimal surfaces. |
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| 摘 要： |
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| 关 键 词： | PL最小界面 双曲线几何 高原 唯一性 |
| 收稿时间： | 17 February 2006 |
| 修稿时间： | 2006-02-172006-09-15 |
Uniqueness of PL Minimal Surfaces |
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| Yi NI.Uniqueness of PL Minimal Surfaces[J].Acta Mathematica Sinica,2007,23(6):961-964. |
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| Authors: | Yi Ni |
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| Institution: | (1) Department of Mathematics, Princeton University, Princeton, New Jersey, 08544 |
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| Abstract: | Using a standard fact in hyperbolic geometry, we give a simple proof of the uniqueness of PL minimal surfaces, thus filling in a gap in the original proof of Jaco and Rubinstein. Moreover, in order to clarify some ambiguity, we sharpen the definition of PL minimal surfaces, and prove a technical lemma on the Plateau problem in the hyperbolic space. |
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| Keywords: | PL minimal surface hyperbolic geometry Plateau problem |
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